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Finding the Third Proportional to 60.12 and 128.46

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Solution

The third proportional to 60.12 and 128.46 is: 274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.12 : 128.46 = 128.46 : x
  2. Step 2: Convert to fraction form
    60.12/128.46 = 128.46/x
  3. Step 3: Cross multiply
    60.12x = 128.46 × 128.46
  4. Step 4: Simplify right side
    60.12x = 16,502.21
  5. Step 5: Solve for x
    x = 16,502.21/60.12
  6. Step 6: Final answer
    x = 274.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.